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  • Five numbers are in A.P., whose sum is 25 and product is 2520. If one of these five numbers is , then the greatest number amongst them is : &nbsp

Five numbers are in A.P., whose sum is 25 and product is 2520. If one of these five numbers is -\frac{1}{2}, then the greatest number amongst them is :  
Option: 1 16
Option: 2 27
Option: 3 7
Option: 4 \frac{21}{2}
 

Answers (1)

best_answer

Five terms are in AP

Let terms are a-2d, a-d, a, a+d, a+2d

Sum of the terms = 5a = 25

So, a=5

Product of the terms 

(a-2d) (a-d) (a+d) (a+2d) a = 2520

Putting a = 5

(25 - 4d2) (25 - d2) = 504

Putting d2 = t

(25 - t) (25 - 4t) = 504

4t2 - 125t + 121 = 0

t = 1 or t = 121/4

d = 1 or d = -1 or d= 11/2 or d = -11/2

But -1/2 can be a term of AP only for d= 11/2 or d = -11/2

Using d = 11/2

Greatest term = a+ 2d = 16

Correct Option (1)

Posted by

Kuldeep Maurya

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